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Simplifying 8(7y + -4) + -1(5y + 2) = 0 Reorder the terms: 8(-4 + 7y) + -1(5y + 2) = 0 (-4 * 8 + 7y * 8) + -1(5y + 2) = 0 (-32 + 56y) + -1(5y + 2) = 0 Reorder the terms: -32 + 56y + -1(2 + 5y) = 0 -32 + 56y + (2 * -1 + 5y * -1) = 0 -32 + 56y + (-2 + -5y) = 0 Reorder the terms: -32 + -2 + 56y + -5y = 0 Combine like terms: -32 + -2 = -34 -34 + 56y + -5y = 0 Combine like terms: 56y + -5y = 51y -34 + 51y = 0 Solving -34 + 51y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 51y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 51y = 0 + 34 51y = 0 + 34 Combine like terms: 0 + 34 = 34 51y = 34 Divide each side by '51'. y = 0.6666666667 Simplifying y = 0.6666666667
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